26754 has 32 divisors (see below), whose sum is σ = 67200. Its totient is φ = 7056.

The previous prime is 26737. The next prime is 26759. The reversal of 26754 is 45762.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

26754 is a Friedman number, since it can be written as 546*7^2, using all its digits and the basic arithmetic operations.

2²⁶⁷⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

26754 is an abundant number, since it is smaller than the sum of its proper divisors (40446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26754 is a wasteful number, since it uses less digits than its factorization.

26754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 25 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 26754 is about 163.5665002377. The cubic root of 26754 is about 29.9086107719.

It can be divided in two parts, 26 and 754, that added together give a triangular number (780 = T₃₉).

The spelling of 26754 in words is "twenty-six thousand, seven hundred fifty-four".